can I get help pls :')​

To find the other factor when (x-5) is a factor of the quadratic expression \(x^2 - 8x + 15\), we can use polynomial division or factoring techniques.

We can perform polynomial division as follows:

      \(x - 5 | x^2 - 8x + 15\)

              \(- (x^2 - 5x)\)

              ---------------

                     -3x + 15

                     - (-3x + 15)

                     ---------------

                              0

The result of the division is 0, which means that (x-5) evenly divides \(x^2 - 8x + 15\). Therefore, the other factor is the quotient obtained during the division, which is x - 3.

So, the two factors of \(x^2 - 8x + 15\) are (x - 5) and (x - 3).

To know more about Expression visit-

brainly.com/question/14083225

#SPJ11

Answer:

\(c + 15 > 24\)

\(c > 9\)

The additional amount will be more than $9.

Answer:

the amount of cupcakes

Step-by-step explanation:

you said the amount of cupcakes can be represented by

Hello! The answer is

D-F

The V is negative when the velocity graph goes down. Hope this helps!

#HaveAnAmazingDay

\(GraceRosalia\)

Answer:

x = a^2 b

Step-by-step explanation:

log x = 2 log a + log b

We know that

c log d = log d^c

log x =  log a^2 + log b

We know that log c* log d = log cd

log x =  log a^2 b

Since they are both logs

x = a^2 b

Please find attached photograph for your answer.

solve for an explicit formula for the given recursive sequence. The sequence is defined as:

a₁ = -2
aₙ = 3aₙ₋₁

To find the explicit formula, we'll work with a few terms of the sequence:

a₁ = -2
a₂ = 3a₁ = 3(-2) = -6
a₃ = 3a₂ = 3(-6) = -18
a₄ = 3a₃ = 3(-18) = -54

We can observe a pattern in the sequence: each term is found by multiplying the previous term by 3. This indicates that the explicit formula is a geometric sequence with a common ratio (r) of 3. The formula for a geometric sequence is:

aₙ = a₁ * \(r^{(n-1)\)

In our case, a₁ = -2 and r = 3, so the explicit formula is:

aₙ = -2 * 3\(^{(n-1)\)

learn more about geometric sequence

https://brainly.com/question/13008517

#SPJ11

Answer: $94.50 is how much sales tax will be charged at store B asumming you are talking about the image attached to this answer, if not could you attach an image?

Given:

The image would be

The rule for 180^0 rotation about the origin is given as

The coordinate of the pre-image is

The coordinate of the image using the 180^0 rotation about the origin is

Step-by-step explanation:

\(4 + 9 - ( - 2) \\ 4 + 9 + 2 = 15\)

Answer:

15

Step-by-step explanation:

➲ Solve

    \(4+9=13\\13-\left(-2\right)\\-\left(-2\right)=+2\\13+2\\13+2=15\)

If the distribution is skewed to the right, then mean > median

This is where the tail is pulled to the right due to large outliers. Those outliers pull on the mean.

Room length = 200 ft.,Room width = 150 ft.,Height of the ceiling = 8 ft.,Selected detector distance = 50 ft.,

According to NFPA 72, for spot type heat detector, maximum spacing between detectors should be 50 ft.So, we need to find out the number of detectors that will be required to protect this room.

The formula for finding the number of detectors required is:Area covered by a single detector = detector distance * detector distance

Area of the room = room length * room width

Number of detectors = Area of the room / Area covered by a single detector

On substituting the given values in the above formula,

Number of detectors = (200/50) * (150/50)

Number of detectors = 4 * 3

Number of detectors = 12

To protect the given room, 12 detectors will be required.

To know more about width visit:

https://brainly.com/question/30282058

#SPJ11

The range of the function y = 4x + 2 where the  domain is the set of all of

the positive even numbers  less than 10 is {10, 18, 26, 34}

The given equation is:

y  =  4x  +  2

The domain is the set of all of  the positive even numbers  less than 10.

That is, x = {2, 4, 6 ,8}

To get the range, find the values of y for x = 2, 4, 6, and 8

For x = 2:

y = 4(2)  +  2

y  =  8  +  2

y   =  10

For x = 4:

y = 4(4)  +  2

y  =  16  +  2

y   =  18

For x = 6:

y = 4(6)  +  2

y  =  24  +  2

y   =  26

For x = 8:

y = 4(8)  +  2

y  =  32  +  2

y   =  34

Therefore, the range = {10, 18, 26, 34}

Learn more here: https://brainly.com/question/18479953

Answer:

1/2

Step-by-step explanation:

Answer:

0.03125

Step-by-step explanation:

just put in the calculator (1/4)/8 and your answer should be 0.03125!! hope I helped you!!!! :)

Answer:

Explanation:

Answer:

Not similar

Not similar

Similar

Step-by-step explanation:

Similar Polygons

If two polygons are similar their:

Pair of right triangles

If the given pair of right triangles are similar, their corresponding sides will be in the same ratio:

\(\implies 5:3=12:4=13:5\)

\(\implies \dfrac{5}{3}= \dfrac{12}{4}= \dfrac{13}{5}\)

\(\implies 1.67\neq 3 \neq 2.6\)

Therefore, as the corresponding sides are not in the same ratio, the right triangles are not similar.

Pair of isosceles triangles

If the given pair of isosceles triangles are similar, their corresponding sides will be in the same ratio:

\(\implies 10:5=10:5=6:6\)

\(\implies \dfrac{10}{5}=\dfrac{10}{5}=\dfrac{6}{6}\)

\(\implies 2 =2 \neq 1\)

Therefore, as the corresponding sides are not in the same ratio, the isosceles triangles are not similar.

Pair of rectangles

If the given pair of rectangles are similar, their corresponding sides will be in the same ratio:

\(\implies 1:2=5:10\)

\(\implies \dfrac{1}{2}=\dfrac{5}{10}\)

\(\implies \dfrac{1}{2}=\dfrac{5 \div 5}{10 \div 5}\)

\(\implies \dfrac{1}{2}=\dfrac{1}{2}\)

Therefore, as the corresponding sides are in the same ratio, the rectangles are similar.

The transformation of f(x) to g(x) is g(x) = (x + 6)² + 4

From the question, we have the following parameters that can be used in our computation:

The functions f(x) and g(x)

Where, we have

f(x) = x²

The translation 6 units left and 4 units up means that

g(x) = f(x + 6) + 4

So, we have

g(x) = (x + 6)² + 4

This means that the transformation of f(x) to g(x) is g(x) = (x + 6)² + 4

Read more about transformation at

brainly.com/question/27224272

#SPJ1

The probability of selecting a black card first and a red card second from a standard deck of 52 playing cards without replacement is 13/51.

The probability of selecting a black card on the first draw is 26/52, or 1/2, since there are 26 black cards in a standard deck of 52 playing cards.

After the first card is drawn, there are 51 cards remaining, of which 26 are red. Therefore, the probability of selecting a red card on the second draw, given that a black card was selected on the first draw, is 26/51.

To find the probability of both events happening (selecting a black card followed by a red card), we multiply the probabilities of each event:

P(black card first, red card second) = P(black card first) × P(red card second | black card first)

P(black card first, red card second) = (1/2) × (26/51)

P(black card first, red card second) = 13/51

For more such questions on probability

https://brainly.com/question/24756209

#SPJ4

a) The change-of-coordinates matrix from basis A to basis B is C = [4 -1 0; -1 1 1; 0 1 -2]. b)  The vector [x]g for x = 3a + 4a2 + az is [11; -2; -6] in the basis B.

a. To find the change-of-coordinates matrix from basis A to basis B, we need to express the vectors in A as linear combinations of the vectors in B. From the given information, we have a = 4b – b2, a = -b1 + b2 + b3, and az = b2 – 2b3. We can rewrite these equations as linear combinations: a = 4b – b2 + 0b3, a = -b1 + b2 + b3, and az = 0b1 + b2 – 2b3.

Using these expressions, we can construct a matrix where the columns correspond to the vectors in A expressed in terms of the vectors in B. The change-of-coordinates matrix C is given by:

C = [4 -1 0; -1 1 1; 0 1 -2].

b. To find [x]g for x = 3a + 4a2 + az, we can use the change-of-coordinates matrix C. First, we express the vector x in terms of the basis A: x = 3(aj) + 4(az) + (az). Then, we can rewrite x in terms of the basis B using the change-of-coordinates matrix: [x]g = C[x]A.

Calculating the matrix-vector multiplication, we have:

[x]g = C * [3; 4; 1] = [11; -2; -6].

Therefore, the vector [x]g in the basis B is [11; -2; -6].

Learn more about combinations here: https://brainly.com/question/28065038

#SPJ11

Therefore , it means if an equation have 2 roots , it means it is a quadratic function .

A number's  root is that factor of the number that, when multiplied by itself, yields the original number. Specifically, squares and square roots are exponents. Think of the number nine. This can be expressed as  or as 3 x 3.

Here,

If an equation have 2 roots , it means it is a quadratic function

If D=0, a quadratic function has two roots that are equal.

D (discriminant) = 0

=>b24ac=0 is required for a polynomial function to have equal roots.

Therefore , it means if an equation have 2 roots , it means it is a quadratic function .

To know more about square root , visit

brainly.com/question/29286039

#SPJ4

Elizabeth can dress up in 720 different ways.

We must add up the alternatives for each piece of clothing to reach the total number of outfits Elizabeth can wear.

Six skirt choices are available.

5 variations for shirts are available.

Given that she must select one pair from a possible four pairs of shoes, there are four possibilities available.

There are two different necklace alternatives.

3 different bracelet choices are available.

We add these values to determine the total number of possible combinations:

Total number of ways = (Number of skirt choices) + (Number of top options) + (Number of pairs of shoes options) + (Number of necklace options) + (Number of bracelet options)

Total number of ways is equal to 720 (6, 5, 4, 2, and 3).

Elizabeth can therefore dress up in 720 different ways

To know more about possibilities refer to

https://brainly.com/question/30584221

#SPJ11

Answer:

2w = -10

-10 / 2 = -5

Answer: -5

Step-by-step explanation:

Answer:

5 or -5

Step-by-step explanation:

I can't tell if the 10 is negative or not but if it is the answer is -5

If it's not the answer is 5.

10 divided by 2 is 5.

-10 divided by 2 is -5.

\(2+2+2+2+8+8+8\)

Add up the 2's:

\(2+2+2+2\\=8\)

Add up the 8's:

\(8+8+8\\=24\)

Add both numbers together:

\(8+24\\=\fbox{32}\)

Answer:

32

Step-by-step explanation:

2+2+2+2=8

8+8+8=24

24+8=32

1. Consider a series that changes deterministically: AYt = a. Given initial value of Yo, write the general solution of the difference equation. A difference equation of the form Ay(t) = a has a general solution of y(t) = A + at, where A is a constant of integration. Therefore, the general solution for the difference equation in question is y(t) = Yo + at.

2. In a trend stationary process, the trend is deterministic. Therefore, it is stationary after removing the trend. In a stochastic trend, the trend is stochastic, and the process is non-stationary even after the trend is removed. Since the process above has a deterministic trend, it is a trend stationary process.

3. The first difference of the series should be taken to remove the trend from the series. The first difference is calculated as y(t) - y(t-1).

4. Consider now a series with the following motion: AY₁ = a + et. Given the initial value of Yo, write the general solution of the difference equation. The difference equation Ay(t) = a + et has a general solution of y(t) = (a/e) + A + Bt + ut, where u(t) is a stationary noise term with zero mean and constant variance. Therefore, the general solution to the difference equation in question is y(t) = a/e + Yo + Bt + ut.

5. Explain whether the process above is trend stationary or stochastic trend. Since the process above has a stochastic trend, it is a non-stationary process.

6. The first difference of the series should be taken to remove the trend from the series. The first difference is calculated as y(t) - y(t-1).

7. The hypothesis for a unit root test is that a series has a unit root, meaning it is non-stationary. The Dickey-Fuller test can be used to test for unit roots by regressing the first difference of the series on the lagged level of the series and testing whether the coefficient on the lagged level is significantly different from zero

8. The Augmented Dickey-Fuller test can be used to test for unit roots by regressing the first difference of the series on the lagged level of the series and the lagged first difference of the series and testing whether the coefficient on the lagged level is significantly different from zero.

To know more about the Dickey-Fuller test, visit:

brainly.com/question/30699863

#SPJ11

Answer:

82

Step-by-step explanation:

since the problem on our left side is division, we will do the opposite and multiply on both sides. then it should say, x=82

Answer:

82

Step-by-step explanation:

multiply 8.2 by both sides

Answer:

259-42x

Step-by-step explanation:

you use distributive property

7 x 37 = 259

7 x 6x = 42x

therefore

7(37−6x) = 259-42x

Answer:

Step-by-step explanation:

let x be the unknown volume

5/7=50/x

x=70

Answer:

137.2 m³

Step-by-step explanation:

Given the ratio of sides a : b , then

ratio of volumes = a³ : b³

Here ratio of sides = 5 : 7 , then

ratio of volumes = 5³ : 7³ = 125 : 343

let x be the volume of the larger prism then by proportion

\(\frac{50}{125}\) = \(\frac{x}{343}\) ( cross- multiply )

125x = 17150 ( divide both sides by 125 )

x = 137.2

That is volume of larger prism is 137.2 m³

9514 1404 393

Answer:

  (a+b)²/b

Step-by-step explanation:

Invert the denominator fraction and multiply.

  \(\dfrac{a^2+ab}{a-b}\div\dfrac{ab}{a^2-b^2}=\dfrac{a(a+b)}{a-b}\cdot\dfrac{a^2-b^2}{ab}\\\\=\dfrac{a(a+b)(a+b)(a-b)}{ab(a-b)}=\boxed{\dfrac{(a+b)^2}{b}}\)

Answer:

For a function y = f(x), the range is the set of all the possible values of y.

In the question you wrote:

y = secx - 2

This can be interpreted as:

y = sec(x - 2)

or

y = sec(x) - 2

So let's see each case (these are kinda the same)

If the function is:

y = sec(x - 2)

Firs remember that:

sec(x) = 1/cos(x)

then we can rewrite:

y = 1/cos(x - 2)

notice that the function cos(x) has the range -1 ≤ y ≤ 1

Then for the two extremes we have:

y = 1/1 = 1

y = 1/-1 = -1

Notice that for:

y = 1/cos(x - 2)

y can never be in the range  -1 < x < 1

As the denominator cant be larger, in absolute value, than 1.

Then we can conclude that the range is all reals except the interval:

-1 < y < 1

If instead the function was:

y = sec(x) - 2

y = 1/cos(x) - 2

Then with the same reasoning, the range will be the set of all real values except:

-1 - 2 < y < 1 - 2

-3 < y < -1

The equation of a line can be written as:

y = mx + b

Where m is the slope and b is the y-intercept.

For the word problem, the slope is -10 and the intercept is 50, thus the equation is:

y = -10x + 50

If x is the number of weeks, then y decreases by 10 when x increases by 1. We expect that the value of y goes from 50 down to 40, 30, 20, etc.

The example of the friend is that he started with